Buch 
Tracts on vaults and bridges : containing observations on the various forms of vaults; on the taking down and rebuilding London Bridge : and on the principles of arches: illustrated by extensive tables of bridges : also containing the principles of pendent bridges, with reference to the properties of the catenary, applied to the Menai Bridge : and a theoretical investigation of the catenary / Samuel Ware
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110
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110

CASE. III.

When f and z are given, to find the rest,c = z cotang. ft = z cosec. f

. z ver .sin. f

x — z cosec. f ver. sin. f = —-

y = m z cot. f log. tang. (45 0 +£f)

CASE. IV.

When <p and x are given, to find the rest.

x cos. <}>

c

t

z

y

X

sec. f — 1 ver. sin. $x

ver. sin. f •x sin. fver. sin.

m x cos. f log, tang. (45°+ )

ver. sin. f.

CASE V.

When f and y are given, to find the rest.

y

c

t

z

m log. tang. (45°-f- if)

_ y_ _..

m cos. f log. tang. (45°-j- if)

y tang.

m log. tang. (45°+ if) '

y ver sin. <p _

m cos. f log. tang. (45°+ if)

X